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Let the number of boys be 'x' and girls in the school be 'y'. therefore x + y = 60 since mean = sum of observations by no of observation

so we have 5x + 3y = 240 and x + y = 60 multiplying second equation by 3 , we get , 5x + 3y =240 3x + 3y = 180 by subtracting , y terms will be cancelled , and 2x = 60 x = 30

substituting x in 2nd equation , we get,

30 + y = 60 y = 60 - 30 = 30 hence x = 30 and y = 30